Ramanujan Complexes of Type $\tilde{A_d}$
Representation Theory
2007-05-23 v2 Group Theory
Abstract
We define and construct Ramanujan complexes. These are simplicial complexes which are higher dimensional analogues of Ramanujan graphs. They are obtained as quotients of the buildings of type associated with where is a local field of positive characteristic.
Cite
@article{arxiv.math/0406208,
title = {Ramanujan Complexes of Type $\tilde{A_d}$},
author = {Alex Lubotzky and Beth Samuels and Uzi Vishne},
journal= {arXiv preprint arXiv:math/0406208},
year = {2007}
}
Comments
32 pages